I do not know sure, but probably caused by the use of inappropriate applications or maybe inappropriate template (i think)
where you have stored images in blogger or any other photo sharing server. in my thought if you are using image server may be problem with that.
Strange. Can you send the code of the img HTML? Alos as other mentioned try to load it through blogger (It will go to Picasa)
It's difficult to tell now because the images have been removed but most likely they are showing links because you uploaded them on a third-party site like Photobucket or Flickr. blogger gives you the option to upload the image on their server. You might want to use that instead. Hope that helps. Have a good day!
There're some possible reasons for this. You hotlink the image, You host your image in unreliable image sharing sites, How to fix it: - Create wordpress.com blog, go to media section, upload your image there, then you can useyour image without having that problems.